%---------------------------------------------------------------------------- % SUBMITTED / IN PREPARATION %---------------------------------------------------------------------------- @article{bglm__, author = "Jérémy Berthomieu and Stef Graillat and Dimitri Lesnoff and Theo Mary", title = "Multiword matrix multiplication over large finite fields in floating-point arithmetic", note = "In preparation", keywords = {inpreparation}, } @misc{adgj__, author = "Ani Anciaux-Sedrakian and Hugo Dorfsman and Thomas Guignon and Fabienne Jézéquel and Theo Mary", title = "Mixed precision {BiCGstab} solvers for the solution of large sparse linear systems", note = "In preparation", keywords = {inpreparation}, } @misc{bkmr__a, author = "Marc Baboulin and Oguz Kaya and Theo Mary and Matthieu Robeyns", title = "Numerical stability of tree tensor network operations, and a new stable rounding algorithm", note = "In preparation", keywords = {inpreparation}, } @misc{mima__, author = "Theo Mary and Mantas Mikaitis", title = "Error analysis of matrix multiplication with narrow range floating-point arithmetic", note = "HAL EPrint hal-04671474", url = {https://hal.science/hal-04671474}, keywords = {submitted}, } @misc{mary__, author = "Theo Mary", title = "Error analysis of Gramian-based low-rank approximation (and why it is not as unstable as one may think)", note = "HAL EPrint hal-04554516", url = {https://hal.science/hal-04554516}, keywords = {submitted}, } @misc{bhmv__, author = "Alfredo Buttari and Nicholas J. Higham and Theo Mary and Bastien Vieubl\'e", title = "A modular framework for the backward error analysis of {GMRES}", note = "HAL EPrint hal-04525918", url = {https://hal.science/hal-04525918}, keywords = {submitted}, } @misc{bmp__, author = "Alfredo Buttari and Theo Mary and Andr\'e Pacteau", title = "Truncated {QR} factorization with pivoting in mixed precision", note = "HAL EPrint hal-04490215", url = {https://hal.science/hal-04490215}, keywords = {submitted}, } @misc{jema__, author = "Fabienne Jézéquel and Theo Mary", title = "Probabilistic estimation of the accuracy of inner products and application to stochastic validation", note = "HAL EPrint hal-04554459", url = {https://hal.science/hal-04554459}, keywords = {submitted}, } @misc{grma__, author = "Stef Graillat and Theo Mary", title = "Condense and Distill: fast distillation of large floating-point sums via condensation", note = "HAL EPrint hal-04507609", url = {https://hal.science/hal-04507609}, keywords = {submitted}, } @misc{bbgm__, author = "Theo Beuzeville and Alfredo Buttari and Serge Gratton and Theo Mary", title = "Deterministic and probabilistic backward error analysis of neural networks in floating-point arithmetic", note = "HAL EPrint hal-04663142", url = {https://hal.science/hal-04663142/}, keywords = {submitted}, } @article{gmr__, author = "Rémi Gribonval and Theo Mary and Elisa Riccietti", title = "Optimal quantization of rank-one matrices in floating-point arithmetic---with applications to butterfly factorizations", year = "2023", note = "HAL EPrint hal-04125381", url = {https://inria.hal.science/hal-04125381}, keywords = {submitted}, } @article{bkmr__, author = "Marc Baboulin and Oguz Kaya and Theo Mary and Matthieu Robeyns", title = "Mixed precision iterative refinement for low-rank matrix and tensor approximations", year = "2023", note = "HAL EPrint hal-04115337", url = {https://inria.hal.science/hal-04115337}, keywords = {submitted}, } @misc{bdkm__, author = "Marc Baboulin and Simplice Donfack and Oguz Kaya and Theo Mary and Matthieu Robeyns", title = "Mixed precision randomized low-rank approximation with GPU tensor cores", note = "HAL EPrint hal-04520893, to appear in Europar'24", url = {https://hal.science/hal-04520893}, keywords = {proceeding}, } @misc{gjmm__, author = "Stef Graillat and Fabienne J\'ez\'equel and Theo Mary and Rom\'eo Molina and Daichi Mukunoki", title = "Reduced-Precision and Reduced-Exponent Formats for Accelerating Adaptive Precision Sparse Matrix-Vector Product", note = "HAL EPrint hal-04519666, to appear in Europar'24", url = {https://hal.science/hal-04519666}, keywords = {proceeding}, } %---------------------------------------------------------------------------- % PUBLISHED %---------------------------------------------------------------------------- @article{abbg24, author = {Amestoy, P. R. and Boiteau, O. and Buttari, A. and Gerest, M. and J\'ez\'equel, F. and L'Excellent, J.-Y. and Mary, T.}, title = "Communication avoiding block low-rank parallel multifrontal triangular solve with many right-hand sides", journal=j-SIMAX, volume = {45}, number = {1}, pages = {148-166}, year = {2024}, doi = {10.1137/23M1568600}, keywords = {journal}, } @article{gjmm24, author = "Stef Graillat and Fabienne J\'ez\'equel and Theo Mary and Rom\'eo Molina", title = "Adaptive precision sparse matrix-vector product and its application to Krylov solvers", journal=j-SISC, volume = {46}, number = {1}, pages = {C30-C56}, year = {2024}, doi = {10.1137/22M1522619}, keywords = {journal}, } @article{abhl24, author = {Amestoy, P. R. and Buttari, A. and Higham, N. J. and L'Excellent, J.-Y. and Mary, T. and Vieubl\'e, B.}, title = {Five-precision {GMRES}-based iterative refinement}, journal=j-SIMAX, volume = {45}, number = {1}, pages = {529-552}, year = {2024}, doi = {10.1137/23M1549079}, keywords = {journal} } @article{abhl23, author = "Patrick Amestoy and Alfredo Buttari and Nicholas J. Higham and Jean-Yves L'Excellent and Theo Mary and Bastien Vieubl{\'e}", title = "Combining Sparse Approximate Factorizations with Mixed Precision Iterative Refinement", journal=j-TOMS, year=2023, volume = {49}, number = {1}, doi = {10.1145/3582493}, keywords = {journal} } @article{loma23, author = {Lopez, F. and Mary, T.}, title = {{Mixed Precision {LU} Factorization on {GPU} Tensor Cores: Reducing Data Movement and Memory Footprint}}, journal=j-IJHPCA, volume = {37}, number = {2}, pages = {165-179}, year = {2023}, doi = {10.1177/10943420221136848}, keywords = {journal} } @article{bglm23, author = "Jérémy Berthomieu and Stef Graillat and Dimitri Lesnoff and Theo Mary", title = "Modular Matrix Multiplication on GPU for Polynomial System Solving", journal="ACM Commun. Comput. Algebra", volume = 57, number = 2, pages = "35-38", year=2023, doi="10.1145/3614408.3614411", keywords = {journal} } @article{oaab23, author = "S. Operto and Patrick Amestoy and Hossein Aghamiry and Stephen Beller and Alfredo Buttari and L. Combe and Victorita Dolean and Matthieu Gerest and Gaoshan Guo and Pierre Jolivet and Jean-Yves L'Excellent and Frichnel Mamfoumbi and Theo Mary and Chiara Puglisi and Alessandra Ribodetti and Pierre-Henri Tournier", title = "Is 3D frequency-domain FWI of full-azimuth/long-offset OBN data feasible? The Gorgon case study", journal={Leading Edge}, volume = 42, number = 3, pages = "146-228", year = {2023}, doi="10.1190/tle42030173.1", keywords = {journal}, } @misc{bbgm22, author = "Th\'eo Beuzeville and Alfredo Buttari and Serge Gratton and Theo Mary and Erkan Ulker", title = "Adversarial attacks via Sequential Quadratic Programming", note = "HAL EPrint hal-03752184", year = "2022", url = {https://hal.archives-ouvertes.fr/hal-03752184/}, keywords = {submitted}, } @misc{bbgm21, author = "Th\'eo Beuzeville and Alfredo Buttari and Serge Gratton and Theo Mary and St\'ephane Pralet", title = "Adversarial attacks via backward error analysis", note = "HAL EPrint hal-03296180", year = "2021", url = {https://hal.science/hal-03296180}, keywords = {submitted}, } @article{cfhm22, author = "Matteo Croci and Massimiliano Fasi and Nicholas J. Higham and Theo Mary and Mantas Mikaitis", title = "Stochastic Rounding: {Implementation}, Error Analysis and Applications", journal = j-RSOS, volume = 9, number = 3, pages = "1-25", year = {2022}, doi = "10.1098/rsos.211631", keywords = {journal} } @article{hima22, author = "Nicholas J. Higham and Theo Mary", title = "Mixed Precision Algorithms in Numerical Linear Algebra", journal = j-AN, volume = 31, pages = "347-414", year = {2022}, doi = "10.1017/s0962492922000022", keywords = {journal} } @article{abbg22, author = {Amestoy, P. R. and Boiteau, O. and Buttari, A. and Gerest, M. and J\'ez\'equel, F. and L'Excellent, J.-Y. and Mary, T.}, title = {Mixed Precision Low Rank Approximations and their Application to Block Low Rank LU Factorization}, journal = j-IMAJNA, year = {2022}, doi = {10.1093/imanum/drac037}, keywords = {journal} } @article{fhlm23, author = "Massimiliano Fasi and Nicholas J. Higham and Florent Lopez and Theo Mary and Mantas Mikaitis", title = "Matrix Multiplication in Multiword Arithmetic: {Error} Analysis and Application to {GPU} Tensor Cores", journal = j-SISC, doi="10.1137/21M1465032", year = {2023}, keywords = {journal} } @article{bhlm21, author = {Buttari, A. and Huber, M. and Leleux, P. and Mary, T. and Ruede, U. and Wohlmuth, B.}, title = {{Block Low Rank Single Precision Coarse Grid Solvers for Extreme Scale Multigrid Methods}}, journal = j-NLAA, year = {2021}, volume = {29}, number = {1}, doi={10.1002/nla.2407}, keywords = {journal} } @article{abm21, author = {Ashcraft, C. and Buttari, A. and Mary, T.}, title = {{Block Low-Rank Matrices with Shared Bases: Potential and Limitations of the BLR$^2$ Format}}, journal = j-SIMAX, year = {2021}, volume = {42}, number = {2}, pages = {990--1010}, doi={10.1137/20M1386451}, keywords = {journal} } @article{hima21, author = {Higham, N. J. and Mary, T.}, title = {{Solving Block Low-Rank Linear Systems by LU Factorization is Numerically Stable}}, journal = j-IMAJNA, year = {2021}, volume = {42}, number = {2}, pages = {951--980}, doi={10.1093/imanum/drab020}, keywords = {journal} } @article{chm21, author = {Connolly, M. P. and Higham, N. J. and Mary, T.}, title = {{Stochastic Rounding and its Probabilistic Backward Error Analysis}}, journal = j-SISC, year = {2021}, volume = {43}, number = {1}, pages = {A566--A585}, doi={10.1137/20M1334796}, keywords = {journal} } @article{hima20, author = {Higham, N. J. and Mary, T.}, title = {{Sharper Probabilistic Backward Error Analysis for Basic Linear Algebra Kernels with Random Data}}, journal = j-SISC, year = {2020}, volume = {42}, number = {5}, pages = {A3427--A3446}, doi={10.1137/20M1314355}, urldoc={doc/SharperProbAna.pdf}, keywords = {journal} } @article{bhlm20, author = {Blanchard, P. and Higham, N. J. and Lopez, F. and Mary, T. and Pranesh, S.}, title = {{Mixed Precision Block Fused Multiply-Add: Error Analysis and Application to GPU Tensor Cores}}, journal = j-SISC, year = {2020}, volume = {42}, number = {3}, pages = {C124--C141}, doi = {10.1137/19M1289546}, keywords = {journal} } @article{bhm20, author = {Blanchard, P. and Higham, N. J. and Mary, T.}, title = {{A Class of Fast and Accurate Summation Algorithms}}, journal = j-SISC, year = {2020}, volume = {42}, number = {3}, pages = {A1541--1557}, doi = {10.1137/19M1257780}, keywords = {journal} } @article{jmpr19, author = {Jeannerod, C.-P. and Mary, T. and Pernet, C. and Roche, D. S.}, title = {Improving the Complexity of Block Low-Rank Factorizations with Fast Matrix Arithmetic}, journal = j-SIMAX, year = {2019}, volume = {40}, number = {4}, pages = {1478--1496}, doi = {10.1137/19M1255628}, keywords = {journal} } @article{hima19a, author = {Higham, N. J. and Mary, T.}, title = {{A New Approach to Probabilistic Rounding Error Analysis}}, journal = j-SISC, year = {2019}, volume = {41}, number = {5}, pages = {A2815--A2835}, doi = {10.1137/18M1226312}, keywords = {journal} } @article{ablm19a, author = {Amestoy, P. R. and Buttari, A. and L'Excellent, J.-Y. and Mary, T.}, title = {{Bridging the Gap between Flat and Hierarchical Low-rank Matrix Formats: the Multilevel Block Low-Rank Format}}, journal = j-SISC, year = {2019}, volume = {41}, number = {3}, pages = {A1414--A1442}, doi = {10.1137/18M1182760}, keywords = {journal} } @article{gcgm19, author = {Gorman, C. and Chavez, G. and Ghysels, P. and Mary, T. and Rouet, F.-H. and Li, X. S.}, title = {{Robust and Accurate Stopping Criteria for Adaptive Randomized Sampling in Matrix-Free Hierarchically Semiseparable Construction}}, journal = j-SISC, year = {2019}, volume = {41}, number = {5}, pages = {S61--S85}, doi={10.1137/18M1194961}, keywords = {journal} } @article{hima19, author = {Higham, N. J. and Mary, T.}, title = {{A New Preconditioner that Exploits Low-Rank Approximations to Factorization Error}}, journal = j-SISC, volume = {41}, number = {1}, pages = {A59--A82}, year = {2019}, doi = {10.1137/18M1182802}, keywords = {journal} } @article{ablm19, author = {Amestoy, Patrick R. and Buttari, Alfredo and L'Excellent, Jean-Yves and Mary, Theo}, title = {{Performance and Scalability of the Block Low-Rank Multifrontal Factorization on Multicore Architectures}}, journal = j-TOMS, volume = {45}, number = {1}, year = {2019}, pages = {2:1--2:26}, doi = {10.1145/3242094}, keywords = {journal} } @article{ablm17, author = {Amestoy, P. R. and Buttari, A. and L'Excellent, J.-Y. and Mary, T.}, title = {{On the Complexity of the Block Low-Rank Multifrontal Factorization}}, journal = j-SISC, volume = {39}, number = {4}, pages = {A1710--A1740}, year = {2017}, doi={10.1137/16M1077192}, keywords = {journal} } @article{abbl16, author = {Amestoy, P. R. and Brossier, R. and Buttari, A. and L'Excellent, J.-Y. and Mary, T. and M\'etivier, L. and Miniussi, A. and Operto, S.}, title = {{Fast 3D frequency-domain full waveform inversion with a parallel Block Low-Rank multifrontal direct solver: application to OBC data from the North Sea}}, journal = j-GEO, year = {2016}, volume = {81}, number = {6}, pages = {R363--R383}, doi={10.1190/geo2016-0052.1}, keywords = {journal} } @article{sjka17, author = {{Shantsev}, D. V. and {Jaysaval}, P. and {de la Kethulle de Ryhove}, S. and {Amestoy}, P. R. and {Buttari}, A. and {L'Excellent}, J.-Y. and {Mary}, T.}, title = "{Large-scale 3D EM modeling with a Block Low-Rank multifrontal direct solver}", journal = j-GJI, year = {2017}, volume = {209}, number = {3}, pages = {1558--1571}, doi = {10.1093/gji/ggx106}, keywords = {journal} } @inproceedings{abfl21, author = {Amestoy, P. and Buttari, A. and Faucher, F. and L'Excellent, J.-Y. and Mary, T. }, title = {Recent work on sparse direct solvers to exploit numerical and structural properties of {HDG} discretizations}, BOOKTITLE={14th WCCM and ECCOMAS congress 2020, Paris, France}, month=Jan, year={2021}, keywords = {proceeding} } @inproceedings{abfg22, author = {Amestoy, P. and Buttari, A. and Faucher, F. and Gerest, M. and L'Excellent, J.-Y. and Mary, T. }, title = {Mixed precision sparse direct solver applied to {3D} wave propagation}, BOOKTITLE={ECCOMAS congress 2022, Oslo, Norway}, month=Jun, year={2022}, keywords = {proceeding} } @phdthesis{mary17, AUTHOR = {Mary, T.}, TITLE = {Block Low-Rank multifrontal solvers: complexity, performance, and scalability}, school = {Universit\'e de Toulouse}, type = {{P}h{D} Thesis}, MONTH = Nov, YEAR = {2017}, urldoc = {doc/thesis.pdf}, keywords = {thesis} } @inproceedings{abbl15, title = {{3D frequency-domain seismic modeling with a Parallel BLR multifrontal direct solver}}, author = {Amestoy, P. R. and Brossier, R. and Buttari, A. and L'Excellent, J.-Y. and Mary, T. and M\'etivier, L. and Miniussi, A. and Operto, S. and Virieux, J. and Weisbecker, C.}, booktitle = {International Conference Society of Exploration Geophysicists (SEG) Annual Meeting}, address = {New Orleans, USA}, year = {2015}, month = Oct, doi={10.1190/segam2015-5811693.1}, keywords = {proceeding} } @inproceedings{abbl15a, title = {{Efficient 3D frequency-domain full-waveform inversion of ocean-bottom cable data with sparse block low-rank direct solver: a real data case study from the North Sea}}, author = {Amestoy, P. R. and Brossier, R. and Buttari, A. and L'Excellent, J.-Y. and Mary, T. and M\'etivier, L. and Miniussi, A. and Operto, S. and Ribodetti, A. and Virieux, J. and Weisbecker, C.}, booktitle = {International Conference Society of Exploration Geophysicists (SEG) Annual Meeting}, address = {New Orleans, USA}, year = {2015}, month = Oct, doi={10.1190/segam2015-5713962.1}, keywords = {proceeding} } @inproceedings{mykl15, title = {{Performance of Random Sampling for Computing Low-rank Approximations of a Dense Matrix on GPUs}}, author = {Mary, T. and Yamazaki, I. and Kurzak, J. and Luszczek, P. and Tomov, S. and Dongarra, J.}, booktitle = {SC'15 - International Conference for High Performance Computing, Networking, Storage and Analysis}, address = {Austin, USA}, year = {2015}, month = Nov, doi = {10.1145/2807591.2807613}, keywords = {proceeding} } @inproceedings{ymkt14, author={Yamazaki, I. and Mary, T. and Kurzak, J. and Tomov, S. and Dongarra, J.}, booktitle={2014 IEEE International Conference on Big Data}, title={Access-averse framework for computing low-rank matrix approximations}, address = {Washington, USA}, year={2014}, month=Oct, doi={10.1109/BigData.2014.7004374}, keywords = {proceeding} } @misc{mary19, author = {Mary, T.}, title = {Pour quelques equations de plus}, note = {Article de vulgarisation scientifique dans le blog Binaire de lemonde.fr}, year = {2019}, url={http://binaire.blog.lemonde.fr/2019/02/06/il-etait-une-fois-ma-these-pour-quelques-equations-de-plus/}, keywords = {popular} }